Question

Last question, in photo, Thank you all very much for your help!

Answer 1

Change the form to slope-intercept form (basically solving for y)

4x - 6y = 12

-6y = -4x + 12

y = 4/6x -2

y = 2/3x - 2

The slope is what is attached to the x variable, which is 2/3

Answer 2

Answer:

○ $\displaystyle \frac{2}{3}$

Step-by-step explanation:

In the Slope-Intercept Formula [y = mx + b], b represents the y-intercept and the rate of change [slope] is represented by m so to convert from a Standard Equation to a Slope-Intercept Equation, you simply do this:

4x - 6y = 12

- 4x - 4x

__________

$\displaystyle \frac{-6y}{-6} = \frac{-4x + 12}{-6} \\ \\ y = \frac{2}{3}x - 2$

Therefore, ⅔ is the slope.

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